Definite Integrals Exercises

Answer

• We pull out the constant:

Answer

• We can combine the integrals, using the property

where a = 1, b = -2, and c = 0:

Now we switch the limits and switch the sign:

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Answer

• Since f is even,

Answer

• We switch the limits and switch the sign:

We pull out the constant:

We use the fact that f is even:

You don't need to do these steps in this particular order. You could pull out the constant first, then switch the limits.

Answer

Pull out the constant:

Since f (x) is odd, its integral from -a = 1 to a = -1 is zero, so